Rather, X--the Omega Point--is equivalent to God, therefore X is God.
Regarding the equivalence of God and the Omega Point: the Omega Point is omniscient, having an infinite amount of information and knowing all that is logically possible to be known; it is omnipotent, having an infinite amount of energy and power; and it is omnipresent, consisting of all that exists.
Might be reaching a bit much. Just because one achieves a transcendent level of knowledge about reality and how it operates doesn't mean it's physically possible to pwn it all, so to speak. There might simply not be enough time. Or energy. Or matter. Or QM limits might leave an inherent fuzziness in operative capacity. And so on.
But for the sake of argument, I'll allow it. We just don't know whether there's some physical limit that cannot be breached, even with (pseudo)-infinite, godlike cleverness and knowledge.
Additionally, the cosmological singularity consists of a three-part structure: the final singularity (i.e., the Omega Point), the all-presents singularity (which exists at all times at the edge of the multiverse), and the initial singularity (i.e., the beginning of the Big Bang). These three distinct parts which perform different physical functions in bringing about and sustaining existence are actually one singularity which connects the entirety of the multiverse.
Even allowing the earlier, you now seem to suggest the "singularity" nature of both the Big Bang and the Omega Point as being things of the same kind, when they are not, even allowing for the previous that such a transcendent being
could indeed pwn all reality.
And given an infinite amount of computational resources, per the Bekenstein Bound, recreating the exact quantum state of our present universe is trivial, requiring at most a mere 10^123 bits (the number which Roger Penrose calculated), or at most a mere 2^10^123 bits for every different quantum configuration of the universe logically possible (i.e., the multiverse in its entirety up to this point in universal history). So the Omega Point will be able to resurrect us using merely an infinitesimally small amount of total computational resources: indeed, the multiversal resurrection will occur between 10^-10^10 and 10^-10^123 seconds before the Omega Point is reached, as the computational capacity of the universe at that stage will be great enough that doing so will require only a trivial amount of total computational resources.
I won't argue the numbers, though I seem to remember that to achieve that level of data manipulation, i.e. in excess of 10^^123, which is on the order of the number of neutrons if the universe were packed solid with neutrons, which 'tain't, requires tricks that exponentially drag out the computation in time. And also presumes the fine granularity of the universe, in practical or QM terms, doesn't provide another physical limitation. After all, in theory you could embed the full state of the universe, at every Plank moment, all in one extremely long real number*.
Again,
but even allowing for that, a simulation of a conscious mind is not a conscious mind.
This was an important point AI researcher Searle kept trying to make in the '70s and 80s. All indications were pointing to intelligence as being a purely computational thing. And therefore you could simulate it with computers, or a set of pipes, buckets, and pulleys.
But he points out that consciousness is a real, physical phenomenon.
And therefore it must arise out of real-world physics somehow. And a simulation of thinking is really just moving electrons, or water around. We would never expect consciousness to arise from them based on an
interpretation of what those movements means, which, at the end of the day, is all it is.
No, he says. Whatever consciousness is, and how it arises, may be a complete mystery. But one thing's for certain: it doesn't come about purely as an informational process. It's like saying a simulation of a car lift can actually lift a real car, which obviously it can't**.
So any future science-based resurrection of us, which, by the way, already has a name: The Techno-Rapture

will,
per your description merely create copies of ourselves. You, who died, will never regain consciousness, though someone will, who will sigh a sigh of relief even as they exclaim that, yes, they did come back to life.
Of course, if this transcendent being(s) are able to actually track the position of all the particles to that present, far in the future day, gather them up, and reassemble them, then I'd least be a little more believing that I, and not some copy, were going to come back to life. But that's another huge, huge debate in the AI world, and not the subject of today's discussion.
So let's see where all this leads:
So to recapitulate:
1.) The Omega Point (or, for that matter, the society near the Omega Point) can trivially perform the universal resurrection of the dead, upon which the people resurrected can live eternally in literal heaven, i.e., paradise.
Yes, a Techno-Rapture is theoretically possible. Whether they choose to let us be in peace or not is another issue.
2.) The Omega Point is omniscient.
3.) The Omega Point is omnipresent.
4.) The Omega Point is omnipotent.
To within the physical limits of reality insofar as a godlike cleverness may not even be able to fully manipulate it.
5.) The cosmological singularity is a triune structure, of which the Omega Point is one component.
An assertion with which I do not agree, due to superficial simularities in the "singularity" concept of black holes and the Big Bang, and the singularity,
a deliberate analogy describing the transcendent moment theorized for some point in the future, "beyond which it is impossible to know anything."
6.) The cosmological singularity is transcendent to, yet immanent in, space and time.
7.) The cosmological singularity is the only achieved (actually existing) infinity.
A godlike intelligence would not necessarily be capable of manipulating the universe to complete detail; this has not been demonstrated. I.e. the transcendent entity may not be able to manhandle, or pwn, everything in every way possible.
Moreover, it would not be truly infinite, either. While it could, in theory, achieve any desired level of finite godliness, that may need to take advantage of exponential use of the time axis, and thus you'd never get to a true infinite capability, intelligence, or knowledge. However, doing things like simulating the entire universe a googolplex number of times would still be technically finite, so there's a ton of breathing room for finiteness to pwn all reality.
8.) The Omega Point creates the universe and all of existence.
That it could rearrange everything up to, and perhaps including, the Big Bang does not mean it will choose to do so. It might be able to alter things for the better, make them worse, or make everything, including itself, cease to exist, irrevocably. But those are different issues. That it
could re-formulate all reality doesn't necessarily mean it
will, much less that it would be proper to interpret it as being
responsible for reality as-it-is.
Those are all the physical properties that have been claimed for God in traditional Christian theology. There are many other congruities between the Omega Point cosmology and Christianity. Below are listed just some of them:
1.) We are gods: John 10:34 (Jesus is quoting Psalm 82:6).
2.) We are God and God is us: Matthew 25:31-46.
3.) We live inside of God: Acts 17:24-28.
4.) God is everything and inside of everything: Colossians 3:11; Jeremiah 23:24.
5.) We are members in the body of Christ: Romans 12:4,5; 1 Corinthians 6:15-19; 12:12-27; Ephesians 4:25.
6.) We are one in Christ: Galatians 3:28.
7.) God is all: Ephesians 1:23; 4:4-6.
8.) God is light: 1 John 1:5; John 8:12.
9.) We have existed before the foundation of the world: Matthew 25:34; Luke 1:70; 11:50; Ephesians 1:4; 2 Timothy 1:9; Isaiah 40:21.
10.) Jesus has existed before the foundation of the world: John 17:24; Revelation 13:8.
11.) The reality of multiple worlds: Hebrews 1:1,2; 11:3.
12.) God is the son of man: Matthew 8:20; 9:6; 10:23; 11:19; 12:18; 12:32; 12:40; 13:37; 13:41; 16:13; 16:27,28; 17:9; 17:12; 17:22; 18:11; 19:28; 20:18; 20:28; 24:27; 24:30; 24:37; 24:39; 24:44; 25:13; 25:31; 26:2; 26:24; 26:45; 26:64. (This is just listing how many times Jesus referred to himself as the Son of Man in the Gospel of Matthew, althought he refers to himself as this throughout the Gospels. It was the favorite phrase that he used to refer to himself.)
How item Nos. 9 and 10 relate is that within Prof. Tipler's Omega Point Theory the universe is brought into being by the Omega Point, as the end-state of the universe causally brings about the beginning state, i.e., the Big Bang singularity (since in physics it's just as accurate to say that causation goes from future to past events: viz., the principle of least action; and unitarity). Another way of stating it is that in the Omega Point cosmology, the Omega Point is the fundamental existential and mathematical entity, from which all of reality derives. Indeed, within the Omega Point Theory, the Big Bang singularity and the Omega Point singularity are actually just different functions of the same singularity. Further, anything which at any time will exist will simply be a subset of what is rendered in the Omega Point.
The Bible, like any other religious text or artifact, is a bunch of made up stuff that purports to reflect realty, if a very bizarre one. Given its use to control and profit from the masses, growing them and binding them together,
it should not be surprising it's adopted a number of philosophies that "work", like the Golden Rule or Ten Commandments, or philosophies that are agreed to "work", regardless of whether they do in reality or not.
So I wouldn't bother aligning your conclusions to the Bible or the OT. After all, if they
were written by the hand of God, then they wouldn't be wrong to begin with, and need a radical re-interpretation, would they?
And if they
weren't (which they aren't) then any proposed alignment is coincidental at best, allowing for the fact a major meme like that adopts philosophies that work or pre-existed, and thus in some sense represent reality.
* For now, we'll leave aside discussions on whether reality's granularity, and the math that accurately describes it, are proportional to rational, real, or some higher order infinite set of numbers.
** Others say a simulation of a calculator still calculates real, valid results. But again they're missing the point -- the result is an interpretation, really more of an affectation, that humans place on the interpretation of the form of the result -- aligned crystals in a real calculator, or lit up pixels on a screen of a simulated calculator. In that sense, which is the important one, they are both equally real, and both producing something that doesn't have a physical definition, so to speak, any more than saying "that chair" over there is "really a chair", when there isn't really such a thing as a "chair" in some Greek philosophy way, but just a bunch of atoms glommed together.